The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was:Min = 60, Q1 = 100, Median = 110, Q3 = 125, Max = 150If we were to build the box plot for this data, the box would stretch between which two values?What would be the lowest value: and highest value:
Question
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was:Min = 60, Q1 = 100, Median = 110, Q3 = 125, Max = 150If we were to build the box plot for this data, the box would stretch between which two values?What would be the lowest value: and highest value:
Solution
To build the box plot for this data, we need to identify the values that define the box. The box represents the interquartile range (IQR), which is the range between the first quartile (Q1) and the third quartile (Q3).
Given the five number summary provided: Min = 60 Q1 = 100 Median = 110 Q3 = 125 Max = 150
The box would stretch between the values of Q1 and Q3. Therefore, the box would stretch between 100 and 125.
The lowest value in the data set is the minimum value, which is 60.
The highest value in the data set is the maximum value, which is 150.
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